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I am not sure how to tell whether a clothes line loaded with wet laundry would be more likely to break if had a significant sag or if it had almost no sag at all.
The discussion centers on the relationship between clothesline sag and the load capacity of the line. It is established that greater sag results in lower tension on the rope, while minimal sag increases tension, making the line more susceptible to breaking. A specific example illustrates that a 3 m rope supporting a 10 kg mass experiences different tension levels based on the degree of sag. The conclusion is that less sag increases the likelihood of the rope breaking due to higher tension.
PREREQUISITESPhysics students, engineers, and anyone interested in the mechanics of tension and load-bearing structures will benefit from this discussion.